Hello guys, I just need help with these two questions.
Which function is shown in the graph?
f(x)=1/2sinx
f(x)=−1/2cosx
f(x)=−1/2sinx
f(x)=1/2cosx
Which equation represents the function of the graph?
f(x)=cos1/2x
f(x)=sin2x
f(x)=sin1/2x
f(x)=cos2x
1st one :
This is the graph of the cosine reflected across the x axis....and with an amplitude of 1/2
So......the correct answer is :
f(x) = -(1/2)cos (x)
2nd one :
This is the sine graph with a period half as long as normal.....thus....there are 2 periods in 2pi
So....the correct answer is
f(x) = sin (2x)